Finding the Fourth Proportional to 742,203,399.12, 1,024,212,630.68 and 412,199,795.76
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Solution
The fourth proportional to 742,203,399.12, 1,024,212,630.68 and 412,199,795.76 is: 568,820,134.32
Step by Step Solution
- Step 1: Write the proportion equation
742,203,399.12 : 1,024,212,630.68 = 412,199,795.76 : x - Step 2: Convert to fraction form
742,203,399.12/1,024,212,630.68 = 412,199,795.76/x - Step 3: Cross multiply
742,203,399.12x = 1,024,212,630.68 × 412,199,795.76 - Step 4: Simplify right side
742,203,399.12x = 422,180,237,181,108,288 - Step 5: Solve for x
x = 422,180,237,181,108,288/742,203,399.12 - Step 6: Final answer
x = 568,820,134.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.